Yes, a polarizer may help, but it’s not the main fix here. Polarizers work best when reflected light is polarized by striking glass at an angle; they are much less effective when shooting straight through glass near perpendicular.

The more reliable approach is setup:

• Keep the camera perpendicular to the page/glass for accurate reproduction and to avoid skew.
• Light the page you are photographing, but keep the opposite page unlit or cover it with black cloth/paper if you don’t need both pages at once.
• Position lights so their reflections bounce away from the camera; several answers suggest keeping the lighting angle low enough to avoid direct glare into the lens.
• Work in a dark room and keep the camera/light sources out of reflected angles.
• If there is an outer display case, use flags/shields to prevent your lights reflecting in that glass.

Other options mentioned: a ring light can push reflections close to the lens axis so they are less noticeable, anti-reflection coated glass can help, and avoiding glass entirely (if possible) is even better.

So: try careful light placement first, then add a polarizer if reflections remain.